Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496t |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-1707726384 = -1 · 24 · 32 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,153,1800] |
[a1,a2,a3,a4,a6] |
Generators |
[17:95:1] |
Generators of the group modulo torsion |
j |
24594409472/106732899 |
j-invariant |
L |
6.4391361843061 |
L(r)(E,1)/r! |
Ω |
1.0684246511998 |
Real period |
R |
3.0133787053085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992p1 124488s1 |
Quadratic twists by: -4 -3 |